Finally a new card review instead of the old boring "revising" of old card reviews.
This time, we would start to look at cards from EOJ. The first lucky card is nothing but the Phoenix used by Kaiser.
When this card is face-up on the field, negate all effects of Magic/Trap cards that target a Machine sub-type monster on your field. When this card is destroy and sent to Graveyard as result of battle when it's face-up, draw a card from your deck.
From the Weekly Jump scan (thanks to SuhYohan!!), the art is the same one as in the "real" card as in the anime. The Phoenix, of course, have the flaming background. Then, it have the four wings (which should be reserved to Angel only) and the same chrome color as Cyber Dragon and like. Nothing special, it just shows what it IS.
This card is a Level 4 Fire/Machine, which means that it can be "abused" with [Limiter Removal]. In addition, Being 1200/1600 makes this card searchable via [Critter], [UFO Turtle] and [UFOroid]. Otherwise, the stats itself is weak in terms of level 4 monsters (not even good in Machine!).
This card's effect is kind of special...well...yeah.
The first effect protect all Machines on your field that would be target by effect of Magic/Trap. This effect make common traps like [Reactive Armor], or Magic like [Shrink] all useless on your monsters. But in drawback, all cards like equipment cards that would be equipped on your own Machine monsters would become useless as long as this card is face-up on the field.
But in addition, when this card is destroy while face-up, you would receive another card. This effect is nice: negate any threats for a turn, this card is destroy (since the effect is annoying), then you would instead cycle this card into extra resource.
In addition to this, as point out by Shogun, the following two cards works pretty well with this card...
1. Reckless Summoning of Hell - Due to this card's stats, it's not hard, again, to special summon this card. If you would need resource, pulling out 3 copies of this card is pretty insane in terms of card advantage.
2. Forced Transfer - Just like Turbo monsters, just instead of searching out a monster, you draw a card...
AVERAGE: 7.4/10 - This card is like another of those "Turbo" monsters: not as powerful as searchers (since you don't get to choose what to get), but more powerful at based effect. The untargetable ability makes your Machines god-like for one turn. The stats itself can be prove as both its strength and weakness. While you can search out this card, waste removals, and ease with this card's second effect being trigger, the first effect becomes pointless since this card would probably be destroy on the next turn. It's not god-like, but it's certainly decent.
Cyber Phoenix wouldn't be used in Gadget decks because it is redundant. Gadget players don't mind their Gadgets getting destroyed. In fact, you'll be wasting your removal while they keep churning out more Gadgets.
Cyber Phoenix can be used in a Reckless Summoning deck. (Since it's normally Machine-based with Cyber Dragons and Proto Cyber Dragons) And since they let you draw when they are killed in battle, this can amount to card advantage for you.
Cyber Phoenix can also be comboed with Forced Transfer. Thought you should mention it...
p.s. IMHO, 8.0/10 seems a bit overrating it. To me it's probably a 7 to 7.5 card.
Shogun: Because I only remember Swapping with Turbo monsters...this card does not work THAT well.
RSoH sucks pretty bad anyway...but I add that into this review (I forgot the card for reason...)
As for Gadget, I'm thinking about Compensation-Gadget over pure Gadget Control. Since for unknown reason the Japanese plays more Comp-Gad over Gadget Control (which do look a LOT like the sucky Gadgets on Pojo...except they actually knows how to put in 2x Avarice...)